For face value yes. They are only given denominations so they count as currency for legislative purposes. They are almost never used at face value but for material or collector value.

https://www.mint.ca/en/shop/coins/2026/the-jack-pine-by-tom-thomson-1-kilo-pure-gold-coin Here is a Canadian $2500 coin.

The Canadian Mint makes all is their commemorative coins and such with a denomination. For example this $2500 denomination gold coin. https://www.mint.ca/en/shop/coins/2026/the-jack-pine-by-tom-thomson-1-kilo-pure-gold-coin

So there are non-circulation coins of all sorts of is values. Mostly they are worth more than face value as collected items. But sometimes they are worth more as their face value or as scrap metal. I had some $20 Silver coins that I took great delight in spending as my friend got them for $16.

I think they do it so that they cannot legally be melted down for materials. As defacing currency is illegal. It also prevents them from droping in value to far as they have an intrinsically assigned worth.

*Edit I suspect it’s also so that faking them is counted as currency counterfeiting instead of as year mark or copyright infringment

Didn’t Wesley go to some special testing that had the geniuses competing for one specific seat. I recall he basically went there because there happened to be a particular available slot rather than just the general admission.

From the episode:

Captain’s log, stardate 41416.2. We’re orbiting Relva Seven, where Wesley Crusher is about to be tested for entrance into Starfleet Academy.

CHANG: I’m proud of all of you. You’ve done a superb job. Each of you would make a fine Starfleet officer. It’s unfair that only one candidate from Relva will attend the Academy this year, and a loss to the Federation if the rest of you do not return to test again. Mister Mordock will be the candidate. His results were slightly higher than Mister Crusher’s. Congratulations, Mister Mordock. You’re the first Benzite in Starfleet.

So I think it has much more to do with the timing of his attempt that mattered. Had he just waited with everyone else it wouldn’t have been such an intense competition

They hand waved away the holodeck power thing in Voyager by days something along the lines of it is a different type of power that wasn’t worth trying to convert to normal power for some reason. Basically just another Voyager excuse to ignore the premises of the show unless they happen to be bored that day.

Look into dice trays, put some sacrificial wood between your table and the dice. All the nice sounds, none of the unintentional damage.

I think in the third case the symbiont wouldn’t be in Sto’Vo’Kor. It didn’t die. So a Jadzia returning would be without Dax. So then the question would be would she return with the Dax memories or not.

Well, Roku did just admit to a giant privacy breech I could see not really wanting one right now.